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Finding the Fourth Proportional to 5,946.62, 8,919.16 and 1,564.41

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Solution

The fourth proportional to 5,946.62, 8,919.16 and 1,564.41 is: 2,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.62 : 8,919.16 = 1,564.41 : x
  2. Step 2: Convert to fraction form
    5,946.62/8,919.16 = 1,564.41/x
  3. Step 3: Cross multiply
    5,946.62x = 8,919.16 × 1,564.41
  4. Step 4: Simplify right side
    5,946.62x = 13,953,261.43
  5. Step 5: Solve for x
    x = 13,953,261.43/5,946.62
  6. Step 6: Final answer
    x = 2,346.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.